A note on fixed points of completely positive maps

Gert K. Pedersen

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A note on fixed points of completely positive maps

Gert K. Pedersen

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Abstract

It is shown that a fixed point of a completely positive map on a semi-finite von Neumann algebra must commute with the operators determining the map (the Lueders phenomenon) if the element is finite or has finite square.

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Gert K. Pedersen. 2003-08-06. A note on fixed points of completely positive maps. https://arxiv.org/abs/math/0308053

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